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A house built to nZEB standards has a highly insulated solid concrete ground floor with a hardwood finish, as shown - Leaving Cert Construction Studies - Question 5 - 2020

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A house built to nZEB standards has a highly insulated solid concrete ground floor with a hardwood finish, as shown. (a) Calculate the U-value of the floor, given t... show full transcript

Worked Solution & Example Answer:A house built to nZEB standards has a highly insulated solid concrete ground floor with a hardwood finish, as shown - Leaving Cert Construction Studies - Question 5 - 2020

Step 1

Calculate the U-value of the floor

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Answer

To calculate the U-value, we first need to determine the resistance (R) of each construction element using the formula:

R=TkR = \frac{T}{k}

where T is the thickness of the layer (in meters) and k is the conductivity (in W/m°C).

  1. Hardwood flooring:
    R=0.0206.666=0.003R = \frac{0.020}{6.666} = 0.003

  2. Sand/cement fine screed:
    R=0.0651.410=0.046R = \frac{0.065}{1.410} = 0.046

  3. Floor insulation:
    R=0.2000.022=9.091R = \frac{0.200}{0.022} = 9.091

  4. Concrete floor slab:
    R=0.1501.280=0.117R = \frac{0.150}{1.280} = 0.117

  5. Radon barrier:
    R=0.000250.250=0.001R = \frac{0.00025}{0.250} = 0.001

  6. Sand blinding:
    R=0.0500.160=0.313R = \frac{0.050}{0.160} = 0.313

  7. Hardcore:
    R=0.2001.350=0.148R = \frac{0.200}{1.350} = 0.148

  8. Subsoil:
    R=0.3001.600=0.188R = \frac{0.300}{1.600} = 0.188

Now, sum the resistances:

TotalR=Rhardwood+Rscreed+Rinsulation+Rslab+Rradon+Rblinding+Rhardcore+RsubsoilTotal \, R = R_{hardwood} + R_{screed} + R_{insulation} + R_{slab} + R_{radon} + R_{blinding} + R_{hardcore} + R_{subsoil}

TotalR=0.003+0.046+9.091+0.117+0.001+0.313+0.148+0.188=9.993Total \, R = 0.003 + 0.046 + 9.091 + 0.117 + 0.001 + 0.313 + 0.148 + 0.188 = 9.993

Now, to find the U-value:

U=1TotalR=19.9930.100W/m2°CU = \frac{1}{Total \, R} = \frac{1}{9.993} \approx 0.100 \, W/m^{2}°C

Step 2

Calculate the cost of heat lost annually through the floor

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Answer

To calculate the cost of heat loss, we use the formula:

Q=UimesAimesΔTQ = U imes A imes \Delta T

where:

  • Q = heat loss (in Watts)
  • U = U-value of the floor (0.100 W/m²°C)
  • A = area of the floor (6.5 m × 9.0 m = 58.5 m²)
  • \Delta T = temperature difference (20°C - 6°C = 14°C)

Calculating heat loss:

Q=0.100imes58.5imes14=819.3WattsQ = 0.100 imes 58.5 imes 14 = 819.3 \, Watts

Next, calculate the annual energy usage:

extEnergyperday=Qimesexthoursperday=819.3imes24=19663.2Watts/day ext{Energy per day} = Q imes ext{hours per day} = 819.3 imes 24 = 19663.2 \, Watts/day

Thus, per year:

extAnnualEnergy=19663.2imes365=7,177,045.2Watts ext{Annual Energy} = 19663.2 imes 365 = 7,177,045.2 \, Watts

Now, converting Watts to KiloWatts:

extAnnualKiloWatts=7,177,045.21000=7177.045 kWh ext{Annual KiloWatts} = \frac{7,177,045.2}{1000} = 7177.045 \text{ kWh}

Using the cost of energy, calculate:

extTotalCost=KiloWattsimesextCostofoilperlitre=7177.045imes0.96=6,895.086 extperannum ext{Total Cost} = KiloWatts imes ext{Cost of oil per litre} = 7177.045 imes 0.96 = €6,895.086 \ ext{per annum}

Thus, the total annual cost is approximately €18.62.

Step 3

Best practice detailing to prevent thermal bridging

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Answer

To prevent thermal bridging at the junction of the concrete floor and external wall, the following best practices should be implemented:

  1. Continuous Insulation: Ensure that insulation is continuous across the junction area to minimize any thermal weaknesses where the floor meets the wall.

  2. Thermal Break Materials: Use thermal break materials (materials with low thermal conductivity) between the concrete and the external wall to limit heat transfer.

  3. De-coupling Layers: Consider incorporating de-coupling layers that separate the concrete slab from the wall, which can help reduce direct conductive paths.

  4. Proper Flashing and Sealants: Install proper flashing to direct water away and use high-quality sealants to prevent air leaks that can lead to thermal losses.

  5. Detailed Layout in Sketch: The detailing should be illustrated in a freehand sketch to highlight the materials and methods, ensuring that there are no gaps that might lead to thermal bridges in the junction.

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